The point `(-4,5)` is vertex of a square and one of its diagonal is `7x-y+8=0.` The equation of other diagonal is

If the lines represented by 2x^2-5xy+2y^2=0 be the sides of a parallelogram and the line 5x+2y=1 be one of its diagonal. Find the equation of the other diagonal, and area of the parallelogram .

If the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the line lx+my=1 be one of its diagonal, show that the equation of the other diagonal is y (bl-hm)=x(am-hl).

The co-ordinates of the vertex A of a square ABCD are (1, 2) and the equation of the diagonal BD is x+2y= 10 . Find the equation of the other diagonal and the co-ordinates of the centre of the square.

The two adjacent sides of parallelogram are y = 0 and y=sqrt3(x-1) . If equation of one diagonal is sqrt3y=(x+1) , then equation of other diagonal is

Each side of a rhombus is 10cm. If one of its diagonals is 16cm find the length of the other diagonal.

The equation of one diagonal of a square is 2x+y=6 and its one vertex is (4,3) . Find the equation of other diagonal.

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If the equation of one diagonal is 11 x=7y=9, find the equation of the other diagonal.

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If the equation of one diagonal is 11 x+7y=9, find the equation of the other diagonal.

One side of a square makes an angle alpha with x axis and one vertex of the square is at origin. Prove that the equations of its diagonals are x(sin alpha+ cos alpha) =y (cosalpha-sinalpha) or x(cos alpha-sin alpha) + y (sin alpha + cos alpha) = a , where a is the length of the side of the square.

If the points A(7,3) and C(0,-4) are two opposite vertices of a rhombus ABCD, then the equation of the diagonal BD is